Finding the Fourth Proportional to 1,123.50, 1,684.83 and 430.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.50 : 1,684.83 = 430.14 : x
2. Step 2: Convert to fraction form
   1,123.50/1,684.83 = 430.14/x
3. Step 3: Cross multiply
   1,123.50x = 1,684.83 × 430.14
4. Step 4: Simplify right side
   1,123.50x = 724,712.78
5. Step 5: Solve for x
   x = 724,712.78/1,123.50
6. Step 6: Final answer
   x = 645.05